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 Doom9's Forum YUV to RGB Conversion
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 26th February 2021, 08:34 #1  |  Link Valentin Nikin Registered User   Join Date: Feb 2021 Posts: 4 YUV to RGB Conversion Hello! https://en.wikipedia.org/wiki/YUV#Co...on_to/from_RGB Can someone explain to me where from Umax and Vmax coefficients? In BT.601 and BT.709 standards nothing about this values.
 26th February 2021, 09:06 #2  |  Link Sharc Registered User   Join Date: May 2006 Posts: 3,851 You won't find Umax and Vmax in the current ITU-R BT.601-7 document which refers to digital TV. U,V has its roots in analog color TV. Digital systems define Cb,Cr rather than U,V. You may find these links helpful: https://software.intel.com/content/w...ml?language=en The basic equations are Y'= 0.299*R' + 0.587*G' + 0.114*B' U'= -0.147*R' - 0.289*G' + 0.436*B' = 0.492*(B'- Y') V'= 0.615*R' - 0.515*G' - 0.100*B' = 0.877*(R'- Y') With R'G'B' in the range of [0,1] the maximum value of V' becomes 0.615 (for R'G'B'=[1,0,0]), and the maximum value of U' becomes 0.436 (for R'G'B'=[0,0,1]). For the various conversion matrices see here: https://web.archive.org/web/20120403...onversion.html For analog TV the "YUV - RGB Color Format Conversion" matrix applies. In the digital realm there is no U,V, but unfortunately it is often used in exchange of Cb, Cr which is not correct. Last edited by Sharc; 27th February 2021 at 15:26. Reason: Links and clarifications added
 27th August 2021, 19:36 #3  |  Link Balling Registered User   Join Date: Feb 2020 Posts: 105 Umax and Vmax are also present in BT.601/BT.709 standards. Both of them are set to 1/2 though. Also Umax and Vmax of old analog are defined in BT.470. There was an error made there though. 0.493 is incorrect as given there. It was too late to correct it though. Last edited by Balling; 28th August 2021 at 15:41.
28th August 2021, 09:04   #4  |  Link
Sharc
Registered User

Join Date: May 2006
Posts: 3,851
Quote:
 Originally Posted by Balling Umax and Vmax are also present in BT.609/BT.709 standards. Both of them are set to 1/2 though. Also Umax and Vmax of old analog are defined in BT.470. There was an error made there though. 0.493 is incorrect as given there. It was too late to correct it though.
What should it be then: 0.492 or 0.5?

28th August 2021, 15:40   #5  |  Link
Balling
Registered User

Join Date: Feb 2020
Posts: 105
Quote:
 Originally Posted by Sharc What should it be then: 0.492 or 0.5?
0.4926. In practice all hardware decoders used that number in a form of 1/2.03, so... nothe that it is not Umax or Vmax and has nothing to do with 1/2 Umax=Vmax in digital standards. You confused that in previous post.

You can read it in SMPTE 170M but I will quote for you:

(It should be noted that there is an apparent error in the 1953 calculations of these reduction factors. Although the
calculations were performed to a high degree of precision, a luminance matrix coefficient of 0.115 was used for blue
instead of the correct 0.114. This resulted in values of 0.493 and 0.877 for B-Y and R-Y, respectively. These were
normally approximated to 1/2.03 and 1/1.14, respectively. The error was not significant in the equations published to an
accuracy of two significant figures, but it is significant for the higher precision equations used in this standard. The values
quoted below and used in this standard are derived from the correct luminance matrix.) (Lower case is used to distinguish
the reduced values:
b-y = 0.492111...(B-Y); (4)
r-y = 0.877283...(R-Y).)

Last edited by Balling; 28th August 2021 at 15:46.

 28th August 2021, 16:10 #6  |  Link Sharc Registered User   Join Date: May 2006 Posts: 3,851 Thank you for clarifying.
28th August 2021, 16:22   #7  |  Link
Balling
Registered User

Join Date: Feb 2020
Posts: 105
Quote:
 Originally Posted by Sharc Thank you for clarifying.
Just again. 0.5 and 0.493 are not the same values. at all. Umax and Vmax in BT.470 were 0.436 and 0.615 respectivly while in digital realm both became 0.5. Please note that NTSC further applied 33 degree rotation matrix and swapped U' and V' to get Y'IQ. So U' is Q and V' becomes I. Okay?

Last edited by Balling; 28th August 2021 at 16:29.

 28th August 2021, 23:53 #8  |  Link Sharc Registered User   Join Date: May 2006 Posts: 3,851 I knew the 0.436 and 0.615 of BT.470 but I wasn't aware that both became 0.5 in the digital realm. Thanks.

 Tags conversion, rgb, yuv